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203078304 = 253211134931
BaseRepresentation
bin11000001101010…
…11101010100000
3112011010110001200
430012223222200
5403442001204
632052401200
75014065012
oct1406535240
9464113050
10203078304
11a46a5810
1258016200
13330c44a0
141cd841b2
1512c66539
hexc1abaa0

203078304 has 144 divisors (see below), whose sum is σ = 678603744. Its totient is φ = 56793600.

The previous prime is 203078287. The next prime is 203078347. The reversal of 203078304 is 403870302.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×2030783043 (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38719 + ... + 43649.

It is an arithmetic number, because the mean of its divisors is an integer number (4712526).

Almost surely, 2203078304 is an apocalyptic number.

203078304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203078304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339301872).

203078304 is an abundant number, since it is smaller than the sum of its proper divisors (475525440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

203078304 is a wasteful number, since it uses less digits than its factorization.

203078304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4971 (or 4960 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 203078304 is about 14250.5545155268. The cubic root of 203078304 is about 587.7886231756.

The spelling of 203078304 in words is "two hundred three million, seventy-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 32 33 36 39 44 48 52 66 72 78 88 96 99 104 117 132 143 144 156 176 198 208 234 264 286 288 312 352 396 416 429 468 528 572 624 792 858 936 1056 1144 1248 1287 1584 1716 1872 2288 2574 3168 3432 3744 4576 4931 5148 6864 9862 10296 13728 14793 19724 20592 29586 39448 41184 44379 54241 59172 64103 78896 88758 108482 118344 128206 157792 162723 177516 192309 216964 236688 256412 325446 355032 384618 433928 473376 488169 512824 576927 650892 705133 710064 769236 867856 976338 1025648 1153854 1301784 1410266 1420128 1538472 1735712 1952676 2051296 2115399 2307708 2603568 2820532 3076944 3905352 4230798 4615416 5207136 5641064 6153888 6346197 7810704 8461596 9230832 11282128 12692394 15621408 16923192 18461664 22564256 25384788 33846384 50769576 67692768 101539152 203078304